22-02-2013, 03:35 PM
B.TECH. CIVIL ENGINEERING I Year COURSE STRUCTURE
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INTRODUCTION :
In view of the growing importance of English as a tool for global communication
and the consequent emphasis on training students to acquire communicative
competence, the syllabus has been designed to develop linguistic and
communicative competence of Engineering students. The prescribed books
and the exercises are meant to serve broadly as students’ handbooks, to
encourage them to develop their language skills. The two textbooks identified
by the Board of Studies serve the purpose of illustrating the conceptual framework
within which the syllabus is to be administered in the classroom. When a
text book is prescribed content is generally paid attention to. However, the
stress in this syllabus is on language acquisition and skill development, calling
for both the teacher and the taught to go beyond the prescribed texts and
innovate exercises and tasks.
SYLLABUS :
Listening Skills :
• Listening for general content
• Listening to fill up information gaps
• Intensive listening
• Listening for specific information
• Note-taking - guided and unguided
• Post-listening testing
Speaking Skills :
• Oral practice
• Developing confidence
• Introducing oneself/others
• Asking for/ giving information
• Describing objects/offering solutions
• Describing situations
• Role play
• Expressing agreement/disagreement
MATHEMATICS – I
UNIT – I
Sequences – series – Convergences and divergence – Ratio test – Comparison
test – Integral test – Cauchy’s root test – Raabe’s test – Absolute and conditional
convergence. Rolle’s theorem – Lagrange’s Mean Value Theorem – Cauchy’s Mean
value Theorem – Generalized Mean Value theorem (Taylor’s Theorem).
UNIT – II
Functions of several variables – Functional dependence- Jacobian- Maxima and
Minima of functions of two variables with constraints or without constraints- Radius,
Centre and Circle of Curvature – Evolutes and Envelopes.
UNIT – III
Curve tracing – Cartesian , polar and Parametric curves - Applications of integration
to lengths , volumes and surface areas in Cartesian and polar coordinates.
UNIT – IV
Differential equations of first order and first degree – exact, linear and Bernoulli.
Applications to Newton’s Law of cooling, Law of natural growth and decay, Orthogonal
trajectories-Non-homogeneous linear differential equations of second and higher
order with constant coefficients with RHS term of the type eax, Sin ax, cos ax,
polynomials in x, eax(x), xV(x), method of variation of parameters.